The minimization of axiom sets characterizing generalized fuzzy rough approximation operators

被引：0
|
作者：
Yang, XP [1 ]
机构：
[1] Zhejiang Ocean Univ, Informat Coll, Zhoushan 316004, Zhejiang, Peoples R China
来源：
FUZZY SYSTEMS AND KNOWLEDGE DISCOVERY, PT 1, PROCEEDINGS | 2005年 / 3613卷
关键词：
D O I：
暂无
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
In the axiomatic approach of fuzzy rough set theory, fuzzy rough approximation operators are characterized by a set of axioms that guarantees the existence of certain types of fuzzy binary relations reproducing the operators. Thus axiomatic characterization of fuzzy rough approximation operators is an important aspect in the study of rough set theory. In this paper, the independence of axioms of generalized fuzzy rough approximation operators is investigated, and their minimal sets of axioms are presented.
引用
收藏
页码：1303 / 1308
页数：6
相关论文
共 50 条
  • [1] The minimization of axiom sets characterizing generalized approximation operators
    Yang, XP
    Li, TJ
    [J]. INFORMATION SCIENCES, 2006, 176 (07) : 887 - 899
  • [2] Minimization of axiom sets on fuzzy approximation operators
    Yang, Xiao-Ping
    [J]. INFORMATION SCIENCES, 2007, 177 (18) : 3840 - 3854
  • [3] Independence of axiom sets on intuitionistic fuzzy rough approximation operators
    Yang, Xiaoping
    Yang, Yu
    [J]. INTERNATIONAL JOURNAL OF MACHINE LEARNING AND CYBERNETICS, 2013, 4 (05) : 505 - 513
  • [4] Independence of axiom sets on intuitionistic fuzzy rough approximation operators
    Xiaoping Yang
    Yu Yang
    [J]. International Journal of Machine Learning and Cybernetics, 2013, 4 : 505 - 513
  • [5] On minimization of axiom sets characterizing covering-based approximation operators
    Zhang, Yan-Lan
    Luo, Mao-Kang
    [J]. INFORMATION SCIENCES, 2011, 181 (14) : 3032 - 3042
  • [6] Invertible approximation operators of generalized rough sets and fuzzy rough sets
    Liu, Guilong
    Sai, Ying
    [J]. INFORMATION SCIENCES, 2010, 180 (11) : 2221 - 2229
  • [7] The minimal sets of axioms characterizing rough fuzzy approximation operators
    Mi, Ju-Sheng
    Leung, Yee
    Zhao, Hui-Yin
    [J]. PROCEEDINGS OF 2006 INTERNATIONAL CONFERENCE ON MACHINE LEARNING AND CYBERNETICS, VOLS 1-7, 2006, : 1138 - +
  • [8] On generalized rough fuzzy approximation operators
    Wu, Wei-Zhi
    Leung, Yee
    Zhang, Wen-Xiu
    [J]. TRANSACTIONS ON ROUGH SETS V, 2006, 4100 : 263 - 284
  • [9] Rough Fuzzy Sets in Generalized Approximation Space
    Sun, Bingzhen
    Gong, Zengtai
    [J]. FIFTH INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS AND KNOWLEDGE DISCOVERY, VOL 1, PROCEEDINGS, 2008, : 416 - +
  • [10] On generalized intuitionistic fuzzy rough approximation operators
    Zhou, Lei
    Wu, Wei-Zhi
    [J]. INFORMATION SCIENCES, 2008, 178 (11) : 2448 - 2465
12345